Mark (✓) against the correct answer:

Question:

Mark (✓) against the correct answer:

A number exceeds 25% of itself by 60. The number is

(a) 75

(b) 45

(c) 80

(d) 65

Solution:

(c) 80

Let the required number be $\mathrm{x}$. Then, we have :

$(25 \%$ of $x)+60=x$

$\Rightarrow\left(x \times \frac{25}{100}\right)+60=x$

$\Rightarrow \frac{25 x}{100}+60=x$

$\Rightarrow\left(\frac{25 x}{100}-x\right)=-60$

$\Rightarrow \frac{-75 x}{100}=-60$

$\Rightarrow x=\left(60 \times \frac{100}{75}\right)$

$\Rightarrow x=80$

 

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